Spinning pulsating string solitons inAdS5×S5

We point out the existence of some simple string solitons in ${\mathrm{AdS}}_5\times {\mathrm{S}}^5,$ which at the same time are spinning in ${\mathrm{AdS}}_5$ and pulsating in ${\mathrm{S}}^5,$ or vice versa. This introduces an additional arbitrary constant into the scaling relations between energy and spin or R charge. The arbitrary constant is not an angular momentum, but can be related to the amplitude of the pulsation. We discuss the solutions in detail and consider the scaling relations. Pulsating multispin or multi-R-charge solutions can also be constructed.